What is expand (40(4cos(40t)+sin(40t)))/(17) ?

The solution to expand (40(4cos(40t)+sin(40t)))/(17) is (160cos(40t))/(17)+(40sin(40t))/(17)

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expand (40(4cos(40t)+sin(40t)))/(17)

expand

\frac{40 ( 4 cos ( 40 t ) + sin ( 40 t ) )}{17}

\frac{160 cos ( 40 t )}{17} + \frac{40 sin ( 40 t )}{17}

Solution steps

\frac{40 ( 4 cos ( 40 t ) + sin ( 40 t ) )}{17}

Expand

40 (4 cos (40 t) + sin (40 t)) : 160 cos (40 t) + 40 sin (40 t)

= \frac{160 cos ( 40 t ) + 40 sin ( 40 t )}{17}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{160 cos ( 40 t ) + 40 sin ( 40 t )}{17} = \frac{160 cos ( 40 t )}{17} + \frac{40 sin ( 40 t )}{17}

= \frac{160 cos ( 40 t )}{17} + \frac{40 sin ( 40 t )}{17}

\frac{1282.5 - 16.245 x ^{2} + 114 x}{( 45 + 0.57 x ^{2} ) ^{2}}

\frac{2 - 2 x ^{2}}{( x ^{2} + 4 ) ( x + 8 )}

(e^{- 2 t} - e^{- 3 t}) \frac{1}{2} (1 - e^{- 2 t})

(sin (y) - sin (x)) d x + (cos (x) + x cos (y) - y) d y

cos (u) (x - (\frac{π}{2}))

What is expand (40(4cos(40t)+sin(40t)))/(17) ?
The solution to expand (40(4cos(40t)+sin(40t)))/(17) is (160cos(40t))/(17)+(40sin(40t))/(17)